The Coordinate Plane
Functions, Tables & Graphs
Sequences
Linear Functions
Direct Variation
100
This is the name of the horizontal number line in a coordinate plane.
What is the x-axis.
100

This is the output for the function y = 4x - 2 when the input is 4.

What is 14.

100
The type of sequence in the pattern: -4, 0, 4, 8,...
What is arithmetic
100

This is the graph of the equation 3x + 1.

What is (y intercept (0,1), next point up 3 to the right 1).

100
This equation does / does not represent direct variation: 3x = 5y
What is yes, it does. (y = 3/5 x)
200
The intersection of the axes in a coordinate plane.
What is the origin.
200

This is the output for the function y = 3x - 9 when x = -2.

What is -15.

200
The type of sequence in the pattern: 8, 16, 32, 64, ...
What is geometric.
200
This is the slope of the line y = -3x + 15.
What is -3
200
This is the constant of variation in the following equation: 4x = 2y
What is 1/2
300
The ordered pair (3, -2) is located in this quadrant
What is quadrant IV
300

These are the ordered pairs for the function y = 3x - 4 when x = -2, -1, 0, 1, and 2.

What is (-2, 10), (-1, -7), (0, -4), (1, -1), (2, 2)

300
This is the function that describes the sequence 3, 6, 9, 12
What is y = 3n
300
This is the slope of a line that passes through points (-1, -2) and (2, 4).
What is 2
300
Caroline has decided to save $50 each week to buy a new stereo system. This is the direct variation equation for the amount of money y that she has saved in x weeks.
What is y = 50x
400
This point (ordered pair) is 8 units right and 2 units down from the point (-3, 6)
What is point (5, 4)
400
These are the ordered pairs for the function y = -x - 7 when x = -3, -1, 0, 2.
What is (-3, -4), (-1, -6), (0, -7), (2, -9)
400
This is the function that describes the sequence 4, 7, 10, 13,...
What is y = 3n + 1
400
This is the graph of a line that passes through point (3,7) with a slope of -1/2.
What is (3,7) go down 1, right 2.
400
This is the constant of variation in the equation -7x = y
What is -7
500
Tyler and Nick left the library at the same time. Tyler walked 6 blocks north and 8 blocks west. Nick walked 3 blocks east and 6 blocks north. This is how far apart they were.
What is 11 blocks.
500

The function y = 20x gives the number of miles y that an SUV can travel on x gallons of gas. The function y = 60x gives the number of miles y that a hybrid car can travel on x gallons of gas. If you drive 120 miles, this is how much gas you will save by driving the hybrid instead of the SUV.

What is 4 gallons

500
Derek wants to increase the number of miles he runs each week. His plan is to run 10 miles the first week, 12 miles the second week, 14 miles the third week, and 16 miles the fourth week. This is the function that describes the sequence.
What is y = 2n + 8.
500
These are the intercepts of the line y = -10x + 200.
What is y intercept: 200 (or (0,200)); x-intercept: 20 (or (20,0))
500
The three-toed sloth is an extremely slow animal. On the ground, it travels at a speed of about 6 feet per minute. This is a direct variation equation for the distance y a sloth will travel in x minutes.
What is y = 6x.
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